Refer to the model for the randomized block design and let
Chapter 13, Problem 40E(choose chapter or problem)
Refer to the model for the randomized block design and let \(\bar{Y}_{* j}\) denote the average of all of the responses in block .
a Derive \(E\left(\bar{Y}_{* j}\right)\) and \(V\left(\bar{Y}_{* j}\right)\).
b Show that \(\bar{Y}_{* j}-\bar{Y}_{* j}\) is an unbiased estimator for \(\beta_{j}-\beta_{j}\) the difference in the effects of blocks and .
c Derive \(V\left(\bar{Y}_{* j}-\bar{Y}_{* j}\right)\).
Equation transcription:
Text transcription:
bar{Y}{* j}
E(bar{Y}{* j})
V(bar{Y}{* j})
bar{Y{* j}-bar{Y}{* j}
beta{j}-\beta{j}
V{Y}{* j}-bar{Y}{* j})
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